The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate must she return if the total travel time is three hours and forty minutes? 27 mph 45 mph 54 mph

The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate must she return if the total travel time is three hours and forty minutes?

1st leg DATA:
distance = 90 mi ; rate = 45 mph ; time = d/r = 2 hrs.
2nd leg DATA:
distance = 90 mi ; time = [3 2/3 - 2] = 1 2/3 hrs; rate = 90/(5/3) = 54 mph
Ans: 54 mph

Answer Link

jainveenamrata jainveenamrata · Answer 2 · 2022-08-09T11:22:45+02:00

The speed of her vehicle while returning is 54 miles per hour. Then the correct option is C.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph.

Then the time taken will be

t₁ = 90 / 45

t₁ = 2 hours

If the total travel time is three hours and forty minutes.

Then the time taken for return will be

t₂ = T - 2

t₂ = 3 hours 40 minutes - 2 houes

t₂ = 1 hour 40 minutes

t₂ = 1.667 hours

Then the speed when she returns back will be

S = D / t₂

S = 90 / 1.667

S = 54 miles per hour

The speed of her vehicle while returning is 54 miles per hour.

Then the correct option is C.

More about the speed link is given below.

https://brainly.com/question/7359669

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